Let z be complex number satisfying |z| 3 +2z 2 + 4
- 8 = 0, where
denotes the complex conjugate of z. Let the imaginary part of z be nonzero. Match each entry in List-I to the correct entries in List-II.
List-I List-II
(P) |z| 2 is equal to (1) 12
(Q) |z-
| 2 is equal to (2)4
(R) | z 2 + z +
| 2 is equal to (3) 8
(S) |z + l| 2 is equal to (4) 10
(5)7
The correct option is :
Text Solution
Verified by ExpertsB
|z| 3 +2z 2 +4
-8 = 0 ....(1)
Take conjugate both sides
|z| 3 +2
2 +4z-8 = 0 ....(2)
By(l)-(2)


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